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Five grams of helium (molar mass = 4 g) expands isothermally at 400 K and does 9540 J of work. Assuming that helium is an ideal gas, determine the ratio of the final volume of the gas to the initial volume.

Five grams of helium (molar mass = 4 g) expands isothermally at 400 K and does 9540 J of work. Assuming that helium is an ideal gas, determine the ratio of the final volume of the gas to the initial volume.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please use the W=nRTln(V2/V1) equation.

Five grams of helium (molar mass = 4 g) expands isothermally at 400 K and does 9540 J of work. Assuming that helium is an ideal gas, determine the ratio of the final volume of the gas to the initial volume.
Transcribed Image Text:Five grams of helium (molar mass = 4 g) expands isothermally at 400 K and does 9540 J of work. Assuming that helium is an ideal gas, determine the ratio of the final volume of the gas to the initial volume.
Expert Solution
Step 1

Given Data:

  • The mass of helium is m=4g
  • The molecular weight of helium is M=4 g/mol
  • The temperature is T=400 K
  • The work done is W=9540 J

Calculate the number of moles of helium as follows:

n=mM=4 g4 g/mol=1 mol

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